Oleg Kupervasser

Pole Solutions for Flame Front Propagation

• Broschiertes Buch

Produktbeschreibung

This book deals with solving mathematically the unsteady flame propagation equations. New original mathematical methods for solving complex non-linear equations and investigating their properties are presented. Pole solutions for flame front propagation are developed. Premixed flames and filtration combustion have remarkable properties: the complex nonlinear integro-differential equations for these problems have exact analytical solutions described by the motion of poles in a complex plane. Instead of complex equations, a finite set of ordinary differential equations is applied. These solutions help to investigate analytically and numerically properties of the flame front propagation equations.

Produktdetails

• Mathematical and Analytical Techniques with Applications to Engineering
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-36881-8
• Softcover reprint of the original 1st ed. 2015
• Seitenzahl: 118
• Englisch
• Abmessung: 236mm x 156mm x 9mm
• Gewicht: 214g
• ISBN-13: 9783319368818
• ISBN-10: 3319368818
• Artikelnr.: 46434221

Inhaltsangabe

Introduction.- Pole-Dynamics in Unstable Front Propagation: The Case of the Channel Geometry.- Using of Pole Dynamics for Stability Analysis of Premixed Flame Fronts: Dynamical Systems Approach in the Complex Plane.- Dynamics and Wrinkling of Radially Propagating Fronts Inferred from Scaling Laws in Channel Geometries.- Laplacian Growth Without Surface Tension in Filtration Combustion: Analytical Pole Solution.- Summary.